Least Common Multiple of 13075 and 13080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13075 and 13080 the smallest integer that is 34204200 that is divisible by both numbers.

Least Common Multiple (LCM) of 13075 and 13080 is 34204200.

LCM(13075,13080) = 34204200

LCM of 13075 and 13080

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 13075 and 13080

LCM of 13075 and 13080 is 34204200

Least common multiple can be found by multiplying the highest exponent prime factors of 13075 and 13080. First we will calculate the prime factors of 13075 and 13080.

Prime Factorization of 13075


5 13075
5 2615
523 523
1

Prime factors of 13075 are 5,523. Prime factorization of 13075 in exponential form is:

13075 = 52×5231

Prime Factorization of 13080


2 13080
2 6540
2 3270
3 1635
5 545
109 109
1

Prime factors of 13080 are 2, 3, 5,109. Prime factorization of 13080 in exponential form is:

13080 = 23×31×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 13075 and 13080.

LCM(13075,13080) = 23×31×52×1091×5231
LCM(13075,13080) = 34204200

Factors of 13075

List of positive integer factors of 13075 that divides 13075 without a remainder.

1, 5, 25, 523, 2615, 13075

Factors of 13080

List of positive integer factors of 13080 that divides 13080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 109, 120, 218, 327, 436, 545, 654, 872, 1090, 1308, 1635, 2180, 2616, 3270, 4360, 6540, 13080

Least Common Multiple of 13075 and 13080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13075 and 13080, than apply into the LCM equation.

GCF(13075,13080) = 5
LCM(13075,13080) = ( 13075 × 13080) / 5
LCM(13075,13080) = 171021000 / 5
LCM(13075,13080) = 34204200

Properties of LCM 13075 and 13080

(i) The LCM of 13080 and 13075 is associative

LCM of 13075 and 13080 = LCM of 13080 and 13075

Related Least Common Multiples of 13075

Related Least Common Multiples of 13080

Frequently Asked Questions on LCM of 13075 and 13080

1. What is the LCM of 13075 and 13080?

Answer: LCM of 13075 and 13080 is 34204200.

2. What are the Factors of 13075?

Answer: Factors of 13075 are 1, 5, 25, 523, 2615, 13075. There are 6 integers that are factors of 13075. The greatest factor of 13075 is 13075.

3. What are the Factors of 13080?

Answer: Factors of 13080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 109, 120, 218, 327, 436, 545, 654, 872, 1090, 1308, 1635, 2180, 2616, 3270, 4360, 6540, 13080. There are 32 integers that are factors of 13080. The greatest factor of 13080 is 13080.

4. How to Find the LCM of 13075 and 13080?

Answer:

Least Common Multiple of 13075 and 13080 = 34204200

Step 1: Find the prime factorization of 13075

13075 = 5 x 5 x 523

Step 2: Find the prime factorization of 13080

13080 = 2 x 2 x 2 x 3 x 5 x 109

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 34204200 = 2 x 2 x 2 x 3 x 5 x 5 x 109 x 523

Step 4: Therefore, the least common multiple of 13075 and 13080 is 34204200.